Goal-oriented adaptive finite element methods with optimal computational complexity

We consider a linear symmetric and elliptic PDE and a linear goal functional. We design and analyze a goal-oriented adaptive finite element method, which steers the adaptive mesh-refinement as well as the approximate solution of the arising linear systems by means of a contractive iterative solver l...

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Veröffentlicht in:	Numerische Mathematik Jg. 153; H. 1; S. 111 - 140
Hauptverfasser:	Becker, Roland, Gantner, Gregor, Innerberger, Michael, Praetorius, Dirk
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2023 Springer Nature B.V Springer Verlag
Schlagworte:	Adaptive algorithms Complexity Computing costs Conjugate gradient method Convergence Finite element method Iterative methods Linear systems Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Optimization Simulation Theoretical 65N50 65Y20 41A25 65N22 65N30
ISSN:	0029-599X, 0945-3245
Online-Zugang:	Volltext
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